%0 Journal Article
%A Gorban, Alexander N.
%A Makarov Slizneva, Valeriy
%A Tyukin, Ivan Y.
%T High-Dimensional Brain in a High-Dimensional World: Blessing of Dimensionality
%D 2020
%@ 1099-4300
%U https://hdl.handle.net/20.500.14352/7496
%X High-dimensional data and high-dimensional representations of reality are inherent features of modern Artificial Intelligence systems and applications of machine learning. The well-known phenomenon of the “curse of dimensionality” states: many problems become exponentially difficult in high dimensions. Recently, the other side of the coin, the “blessing of dimensionality”, has attracted much attention. It turns out that generic high-dimensional datasets exhibit fairly simple geometric properties. Thus, there is a fundamental tradeoff between complexity and simplicity in high dimensional spaces. Here we present a brief explanatory review of recent ideas, results and hypotheses about the blessing of dimensionality and related simplifying effects relevant to machine learning and neuroscience.
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